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Finding the Fourth Proportional to 1,211.81, 1,672.49 and 714.50

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Solution

The fourth proportional to 1,211.81, 1,672.49 and 714.50 is: 986.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.81 : 1,672.49 = 714.50 : x
  2. Step 2: Convert to fraction form
    1,211.81/1,672.49 = 714.50/x
  3. Step 3: Cross multiply
    1,211.81x = 1,672.49 × 714.50
  4. Step 4: Simplify right side
    1,211.81x = 1,194,990.53
  5. Step 5: Solve for x
    x = 1,194,990.53/1,211.81
  6. Step 6: Final answer
    x = 986.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.